22850400 has 72 divisors (see below), whose sum is σ = 74385864. Its totient is φ = 6092800.

The previous prime is 22850381. The next prime is 22850411. The reversal of 22850400 is 405822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2361 + ... + 7160.

It is an arithmetic number, because the mean of its divisors is an integer number (1033137).

Almost surely, 2^22850400 is an apocalyptic number.

22850400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22850400 is an abundant number, since it is smaller than the sum of its proper divisors (51535464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22850400 is a wasteful number, since it uses less digits than its factorization.

22850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9544 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 22850400 is about 4780.2092004430. The cubic root of 22850400 is about 283.7687729757.

The spelling of 22850400 in words is "twenty-two million, eight hundred fifty thousand, four hundred".